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Finding the Fourth Proportional to 35,565, 53,366.94 and 17,097

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Solution

The fourth proportional to 35,565, 53,366.94 and 17,097 is: 25,654.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,565 : 53,366.94 = 17,097 : x
  2. Step 2: Convert to fraction form
    35,565/53,366.94 = 17,097/x
  3. Step 3: Cross multiply
    35,565x = 53,366.94 × 17,097
  4. Step 4: Simplify right side
    35,565x = 912,414,573.18
  5. Step 5: Solve for x
    x = 912,414,573.18/35,565
  6. Step 6: Final answer
    x = 25,654.85

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.